Details

analyze492.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	115×	body	80	nan
1.0ms	29×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 20.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.7b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.3b	(/.f64 A (*.f64 V l))
17.4b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
15×	`sqrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`times-frac_binary64`
6×	`pow1_binary64`
3×	`add-log-exp_binary64` `associate-l_binary64` `associate-/l*_binary64` `div-inv_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-exp_binary64` `sqrt-div_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `pow1/2_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`

Counts

3 → 66

Calls

3 calls:

8.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
5.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
6.0ms	(/.f64 A (*.f64 V l))
15.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

simplify75.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5085	561

prune118.0ms

Filtered

57 candidates to 75 candidates (-31.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	62	13	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	13	76

Merged error: 7.3b

Counts

76 → 13

localize8.0ms

Local error

Found 3 expressions with local error:

1.7b	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
4.6b	(*.f64 (/.f64 1 V) (/.f64 A l))
17.4b	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt_binary64`
27×	`add-exp-log_binary64`
25×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`
17×	`associate-r_binary64` `add-cbrt-cube_binary64`
16×	`associate-l_binary64`
10×	`pow1_binary64`
9×	`prod-exp_binary64`
8×	`div-exp_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-*r/_binary64` `sqrt-div_binary64`
5×	`cbrt-unprod_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow-prod-down_binary64` `add-log-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
2×	`1-exp_binary64` `sqrt-pow1_binary64` `rec-exp_binary64` `div-inv_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64`

Counts

3 → 92

Calls

3 calls:

9.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
11.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
5.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

series43.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(.f64 c0 (sqrt.f64 (.f64 (/.f64 1 V) (/.f64 A l))))
6.0ms	(*.f64 (/.f64 1 V) (/.f64 A l))
19.0ms	(sqrt.f64 (*.f64 (/.f64 1 V) (/.f64 A l)))

simplify56.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5059	743

prune112.0ms

Filtered

71 candidates to 101 candidates (-42.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	102	12	114

Merged error: 5.3b

Counts

114 → 12

localize7.0ms

Local error

Found 3 expressions with local error:

1.7b	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
4.5b	(/.f64 (/.f64 A l) V)
17.4b	(sqrt.f64 (/.f64 (/.f64 A l) V))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac_binary64`
134×	`add-sqr-sqrt_binary64`
117×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
89×	`sqrt-prod_binary64`
46×	`associate-r_binary64`
13×	`associate-/l*_binary64` `div-inv_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`unswap-sqr_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-l*_binary64` `rem-sqrt-square_binary64` `div-exp_binary64`
2×	`sqrt-div_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `pow1/2_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

3 → 191

Calls

3 calls:

17.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
7.0ms	(/.f64 (/.f64 A l) V)
7.0ms	(sqrt.f64 (/.f64 (/.f64 A l) V))

series33.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A l) V)))
7.0ms	(/.f64 (/.f64 A l) V)
11.0ms	(sqrt.f64 (/.f64 (/.f64 A l) V))

simplify78.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5083	2192

prune219.0ms

Filtered

166 candidates to 200 candidates (-20.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	192	8	200
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	195	17	212

Merged error: 0.1b

Counts

212 → 17

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 V)
0.6b	(cbrt.f64 V)
0.6b	(cbrt.f64 A)
0.6b	(cbrt.f64 A)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 V)
1.0ms	(cbrt.f64 V)
1.0ms	(cbrt.f64 A)
1.0ms	(cbrt.f64 A)

series118.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(cbrt.f64 V)
30.0ms	(cbrt.f64 V)
28.0ms	(cbrt.f64 A)
31.0ms	(cbrt.f64 A)

simplify40.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4923	212
1	4923	212

prune54.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	54	19	73

Merged error: 0.0b

Counts

73 → 19

regimes945.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	30
1	20	30

end0.0ms

sample725.0ms

Algorithm

intervals

Results

291.0ms	8000×	body	80	valid
106.0ms	2907×	body	80	nan
31.0ms	887×	body	80	invalid

Details

analyze492.0ms

sample28.0ms

simplify5.0ms

prune4.0ms

localize7.0ms

rewrite19.0ms

series36.0ms

simplify75.0ms

prune118.0ms

localize8.0ms

rewrite28.0ms

series43.0ms

simplify56.0ms

prune112.0ms

localize7.0ms

rewrite44.0ms

series33.0ms

simplify78.0ms

prune219.0ms

localize14.0ms

rewrite6.0ms

series118.0ms

simplify40.0ms

prune54.0ms

regimes945.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample725.0ms

Profiling